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Finding the Fourth Proportional to 21,077.88, 29,087.42 and 11,646.38

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Solution

The fourth proportional to 21,077.88, 29,087.42 and 11,646.38 is: 16,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.88 : 29,087.42 = 11,646.38 : x
  2. Step 2: Convert to fraction form
    21,077.88/29,087.42 = 11,646.38/x
  3. Step 3: Cross multiply
    21,077.88x = 29,087.42 × 11,646.38
  4. Step 4: Simplify right side
    21,077.88x = 338,762,942.87
  5. Step 5: Solve for x
    x = 338,762,942.87/21,077.88
  6. Step 6: Final answer
    x = 16,071.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.